Establishes global well-posedness for 2D stochastic nematic liquid crystal equations with multiplicative white noise and random initial/boundary conditions under Malliavin regularity assumptions.
Random attractor for the 2D stochastic nematic liquid crystals flows with multiplicative noise
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abstract
Under non-periodic boundary conditions, we consider the long-time behavior for stochastic 2D nematic liquid crystals flows with velocity and orientations perturbed by additive noise and multiplicative noise respectively. It is the first result for the long-time behavior of stochastic nematic liquid crystals under Dirichlet boundary condition for velocity field and Neumann boundary condition for orientation field.
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math.PR 1years
2019 1verdicts
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Global well-posedness of stochastic nematic liquid crystals with random initial and random boundary conditions driven by multiplicative noise
Establishes global well-posedness for 2D stochastic nematic liquid crystal equations with multiplicative white noise and random initial/boundary conditions under Malliavin regularity assumptions.